688296 has 64 divisors (see below), whose sum is σ = 2090880. Its totient is φ = 184320.

The previous prime is 688277. The next prime is 688297. The reversal of 688296 is 692886.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688296.

It is not an unprimeable number, because it can be changed into a prime (688297) by changing a digit.

688296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁶⁸⁸²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440).

688296 is an abundant number, since it is smaller than the sum of its proper divisors (1402584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688296 is a wasteful number, since it uses less digits than its factorization.

688296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 688296 is about 829.6360647899. The cubic root of 688296 is about 88.2927577580.

The spelling of 688296 in words is "six hundred eighty-eight thousand, two hundred ninety-six".